Extensions of Lie superalgebras by Heisenberg Lie superalgebras
Volume 153 / 2018
Colloquium Mathematicum 153 (2018), 209-218
MSC: 17B30, 17B56, 18G60.
DOI: 10.4064/cm7243-8-2017
Published online: 24 May 2018
Abstract
We study extensions of Lie superalgebras by Heisenberg Lie superalgebras over a field of characteristic $p\not =2$. We prove that the equivalence classes of those extensions are parameterized by means of representations and 2-cohomology classes of two extensions by two related Abelian Lie superalgebras.
